From 94d3e79a8617f88dc0219cfdeedfa3147833719d Mon Sep 17 00:00:00 2001
From: Adrian Kummerlaender
Date: Mon, 24 Jun 2019 14:43:36 +0200
Subject: Initialize at openlb-1-3
---
examples/laminar/powerLaw2d/Makefile | 105 +++++++
examples/laminar/powerLaw2d/definitions.mk | 30 ++
examples/laminar/powerLaw2d/input-model.xml | 17 ++
examples/laminar/powerLaw2d/input.xml | 17 ++
examples/laminar/powerLaw2d/module.mk | 29 ++
examples/laminar/powerLaw2d/powerLaw2d.cpp | 456 ++++++++++++++++++++++++++++
examples/laminar/powerLaw2d/run.sh | 29 ++
7 files changed, 683 insertions(+)
create mode 100644 examples/laminar/powerLaw2d/Makefile
create mode 100644 examples/laminar/powerLaw2d/definitions.mk
create mode 100644 examples/laminar/powerLaw2d/input-model.xml
create mode 100644 examples/laminar/powerLaw2d/input.xml
create mode 100644 examples/laminar/powerLaw2d/module.mk
create mode 100644 examples/laminar/powerLaw2d/powerLaw2d.cpp
create mode 100755 examples/laminar/powerLaw2d/run.sh
(limited to 'examples/laminar/powerLaw2d')
diff --git a/examples/laminar/powerLaw2d/Makefile b/examples/laminar/powerLaw2d/Makefile
new file mode 100644
index 0000000..a953954
--- /dev/null
+++ b/examples/laminar/powerLaw2d/Makefile
@@ -0,0 +1,105 @@
+# This file is part of the OpenLB library
+#
+# Copyright (C) 2007 Mathias Krause
+# E-mail contact: info@openlb.net
+# The most recent release of OpenLB can be downloaded at
+#
+#
+# This program is free software; you can redistribute it and/or
+# modify it under the terms of the GNU General Public License
+# as published by the Free Software Foundation; either version 2
+# of the License, or (at your option) any later version.
+#
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+# GNU General Public License for more details.
+#
+# You should have received a copy of the GNU General Public
+# License along with this program; if not, write to the Free
+# Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+# Boston, MA 02110-1301, USA.
+
+###########################################################################
+## definitions
+
+include definitions.mk
+
+include $(ROOT)/global.mk
+
+OBJECTS := $(foreach file, $(SRC), $(PWD)/$(file:.cpp=.o))
+DEPS := $(foreach file, $(SRC), $(PWD)/$(file:.cpp=.d))
+
+###########################################################################
+## all
+
+all : depend compile link
+
+
+###########################################################################
+## dependencies
+
+depend : $(DEPS)
+
+$(PWD)/%.d : %.cpp
+ @echo Create dependencies for $<
+ @$(SHELL) -ec '$(CXX) -M $(CXXFLAGS) $(IDIR) $< \
+ | sed -e "s!$*\.o!$(PWD)\/$*\.o!1" > .tmpfile; \
+ cp -f .tmpfile $@;'
+
+###########################################################################
+## compile
+
+compile : $(OBJECTS)
+
+$(PWD)/%.o: %.cpp
+ @echo Compile $<
+ $(CXX) $(CXXFLAGS) $(IDIR) -c $< -o $@
+
+###########################################################################
+## clean
+
+clean : cleanrub cleanobj cleandep
+
+cleanrub:
+ @echo Clean rubbish files
+ @rm -f *~ core .tmpfile tmp/*.* $(OUTPUT)
+ @rm -f tmp/vtkData/*.* tmp/vtkData/data/*.* tmp/imageData/*.* tmp/gnuplotData/*.* tmp/gnuplotData/data/*.*
+
+cleanobj:
+ @echo Clean object files
+ @rm -f $(OBJECTS)
+
+cleandep:
+ @echo Clean dependencies files
+ @rm -f $(DEPS)
+
+cleanbuild:
+ @cd $(ROOT); \
+ $(MAKE) cleanlib;
+
+###########################################################################
+## update lib
+
+$(ROOT)/$(LIBDIR)/lib$(LIB).a :
+ @cd $(ROOT); \
+ $(MAKE) all
+
+###########################################################################
+## link
+
+link: $(OUTPUT)
+
+$(OUTPUT): $(OBJECTS) $(ROOT)/$(LIBDIR)/lib$(LIB).a
+ @echo Link $@
+ $(CXX) $(foreach file, $(SRC), $(file:.cpp=.o)) $(LDFLAGS) -L$(ROOT)/$(LIBDIR) -l$(LIB) -lz -o $@
+
+###########################################################################
+## include dependencies
+
+ifneq "$(strip $(wildcard *.d))" ""
+ include $(foreach file,$(DEPS),$(file))
+endif
+
+###########################################################################
+###########################################################################
diff --git a/examples/laminar/powerLaw2d/definitions.mk b/examples/laminar/powerLaw2d/definitions.mk
new file mode 100644
index 0000000..137f8c5
--- /dev/null
+++ b/examples/laminar/powerLaw2d/definitions.mk
@@ -0,0 +1,30 @@
+# This file is part of the OpenLB library
+#
+# Copyright (C) 2007 Mathias Krause
+# E-mail contact: info@openlb.net
+# The most recent release of OpenLB can be downloaded at
+#
+#
+# This program is free software; you can redistribute it and/or
+# modify it under the terms of the GNU General Public License
+# as published by the Free Software Foundation; either version 2
+# of the License, or (at your option) any later version.
+#
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+# GNU General Public License for more details.
+#
+# You should have received a copy of the GNU General Public
+# License along with this program; if not, write to the Free
+# Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+# Boston, MA 02110-1301, USA.
+
+
+###########################################################################
+###########################################################################
+## DEFINITIONS TO BE CHANGED
+
+ROOT := ../../..
+SRC := powerLaw2d.cpp
+OUTPUT := powerLaw2d
diff --git a/examples/laminar/powerLaw2d/input-model.xml b/examples/laminar/powerLaw2d/input-model.xml
new file mode 100644
index 0000000..f4bed5b
--- /dev/null
+++ b/examples/laminar/powerLaw2d/input-model.xml
@@ -0,0 +1,17 @@
+
+
+ 40
+ 2
+ 1
+
+
+ MAXU
+ 10
+ 0.8
+ 0.2
+
+
+
diff --git a/examples/laminar/powerLaw2d/input.xml b/examples/laminar/powerLaw2d/input.xml
new file mode 100644
index 0000000..68c5080
--- /dev/null
+++ b/examples/laminar/powerLaw2d/input.xml
@@ -0,0 +1,17 @@
+
+
+ 40
+ 2
+ 1
+
+
+ .1
+ 10
+ 0.8
+ 0.2
+
+
+
diff --git a/examples/laminar/powerLaw2d/module.mk b/examples/laminar/powerLaw2d/module.mk
new file mode 100644
index 0000000..1190482
--- /dev/null
+++ b/examples/laminar/powerLaw2d/module.mk
@@ -0,0 +1,29 @@
+# This file is part of the OpenLB library
+#
+# Copyright (C) 2017 Markus Mohrhard
+# E-mail contact: info@openlb.net
+# The most recent release of OpenLB can be downloaded at
+#
+#
+# This program is free software; you can redistribute it and/or
+# modify it under the terms of the GNU General Public License
+# as published by the Free Software Foundation; either version 2
+# of the License, or (at your option) any later version.
+#
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+# GNU General Public License for more details.
+#
+# You should have received a copy of the GNU General Public
+# License along with this program; if not, write to the Free
+# Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+# Boston, MA 02110-1301, USA.
+
+current_dir := $(dir $(word $(words $(MAKEFILE_LIST)),$(MAKEFILE_LIST)))
+
+include global.mk
+include rules.mk
+include $(addsuffix definitions.mk, $(current_dir))
+
+$(eval $(call sample,$(current_dir)$(OUTPUT),$(addprefix $(current_dir), $(SRC))))
diff --git a/examples/laminar/powerLaw2d/powerLaw2d.cpp b/examples/laminar/powerLaw2d/powerLaw2d.cpp
new file mode 100644
index 0000000..fd5e833
--- /dev/null
+++ b/examples/laminar/powerLaw2d/powerLaw2d.cpp
@@ -0,0 +1,456 @@
+/* Lattice Boltzmann sample, written in C++, using the OpenLB
+ * library
+ *
+ * Copyright (C) 2016 Vojtech Cvrcek, Mathias J. Krause
+ * E-mail contact: info@openlb.net
+ * The most recent release of OpenLB can be downloaded at
+ *
+ *
+ * This program is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public
+ * License along with this program; if not, write to the Free
+ * Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+ * Boston, MA 02110-1301, USA.
+ */
+
+/* powerLaw2d.cpp:
+ * This example examines a steady flow of a non-newtonian fluid in a channel.
+ * At the inlet, a profile for non-newtonian fluid is imposed on the velocity,
+ * where as the outlet implements an outflow condition grad_x p = 0.
+ * The power law model is for n=1 and m=charNu in fact the classical poiseuille flow.
+ * One can validate the error with using functors in void error.
+ *
+ *
+ */
+
+#include "olb2D.h"
+#include "olb2D.hh" // include full template code
+
+#include
+#include
+#include
+#include
+
+using namespace olb;
+using namespace olb::descriptors;
+using namespace olb::graphics;
+using namespace olb::util;
+using namespace std;
+
+typedef double T;
+#define DESCRIPTOR DynOmegaD2Q9Descriptor
+
+// Parameters for the simulation setup
+int N = 40; // resolution of the model
+T Re = 10.; // Reynolds number
+T tau = 0.8;
+T lx = 2.; // channel lenght
+T ly = 1.; // channel width
+T maxU = 1; // Max velocity
+T Tmax = 20; // max. phys. time in s
+T Tprint = 1; // Phys time at which the status of the system is print
+// set the changes for n and m in powerLawBGKdynamics.h
+T n = .2; // parameter in power law model (n=1 Newtonian fluid)
+bool bcTypePeriodic = false; //true works only with one core
+
+const T residuum = 1e-5; // residuum for the convergence check
+
+void prepareGeometry( PowerLawUnitConverter const& converter,
+ SuperGeometry2D& superGeometry ) {
+ OstreamManager clout( std::cout,"prepareGeometry" );
+ clout << "Prepare Geometry ..." << std::endl;
+
+ Vector extend( lx, ly );
+ Vector origin;
+
+ superGeometry.rename( 0,2 );
+ superGeometry.rename( 2,1,1,1 );
+
+ // Set material number for inflow
+ extend[0] = 1.2*converter.getConversionFactorLength();
+ origin[0] = -converter.getConversionFactorLength();
+ IndicatorCuboid2D inflow( extend, origin );
+ if (bcTypePeriodic)
+ superGeometry.rename( 1,3,inflow );
+ else
+ superGeometry.rename( 2,3,1,inflow );
+ // Set material number for outflow
+ origin[0] = lx-.5*converter.getConversionFactorLength();
+ IndicatorCuboid2D outflow( extend, origin );
+ if (bcTypePeriodic)
+ superGeometry.rename( 1,4,outflow );
+ else
+ superGeometry.rename( 2,4,1,outflow );
+ // Removes all not needed boundary voxels outside the surface
+ superGeometry.clean();
+ // Removes all not needed boundary voxels inside the surface
+ superGeometry.innerClean();
+ superGeometry.checkForErrors();
+ superGeometry.getStatistics().print();
+
+ clout << "Prepare Geometry ... OK" << std::endl;
+ return;
+}
+
+// Set up the geometry of the simulation
+void prepareLattice( SuperLattice2D& sLattice,
+ PowerLawUnitConverter const& converter,
+ Dynamics& bulkDynamics,
+ Dynamics& inDynamics,
+ Dynamics& outDynamics,
+ sOnLatticeBoundaryCondition2D& sBoundaryCondition,
+ SuperGeometry2D& superGeometry ) {
+
+ OstreamManager clout( std::cout,"prepareLattice" );
+ clout << "Prepare Lattice ..." << std::endl;
+
+ const T omega = converter.getLatticeRelaxationFrequency();
+
+ // Material=0 -->do nothing
+ sLattice.defineDynamics( superGeometry.getMaterialIndicator(0), &instances::getNoDynamics() );
+
+ // Material=1 -->bulk dynamics
+ sLattice.defineDynamics( superGeometry.getMaterialIndicator(1), &bulkDynamics );
+
+ // Material=2 -->bounce back
+ sLattice.defineDynamics( superGeometry.getMaterialIndicator(2), &instances::getBounceBack() );
+
+ // Material=3 -->bulk dynamics (inflow)
+ if (bcTypePeriodic)
+ sLattice.defineDynamics( superGeometry.getMaterialIndicator(3), &inDynamics );
+ else {
+ sLattice.defineDynamics( superGeometry.getMaterialIndicator(3), &bulkDynamics );
+ // Setting of the boundary conditions
+ sBoundaryCondition.addVelocityBoundary( superGeometry, 3, omega );
+ }
+
+ // Material=4 -->bulk dynamics (outflow)
+ if (bcTypePeriodic)
+ sLattice.defineDynamics( superGeometry.getMaterialIndicator(4), &outDynamics );
+ else {
+ sLattice.defineDynamics( superGeometry.getMaterialIndicator(4), &bulkDynamics );
+ // Setting of the boundary conditions
+ sBoundaryCondition.addPressureBoundary( superGeometry, 4, omega );
+ }
+ clout << "Prepare Lattice ... OK" << std::endl;
+}
+
+
+void setBoundaryValues( SuperLattice2D& sLattice,
+ PowerLawUnitConverter const& converter,
+ int iT, SuperGeometry2D& superGeometry ) {
+
+ OstreamManager clout( std::cout,"setBoundaryValues" );
+
+ // Set initial and steady boundary conditions
+ if ( iT==0 ) {
+
+ // Define the analytical solutions for pressure and velocity
+ T maxVelocity = converter.getCharLatticeVelocity();
+ T distance2Wall = converter.getConversionFactorLength()/2.;
+
+ T p0 = converter.getPhysConsistencyCoeff()*pow( converter.getCharPhysVelocity(),n )*pow( ( n + 1. )/n,n )*pow( 2./( ly-distance2Wall*2 ),n + 1. );
+
+ AnalyticalLinear2D rho( converter.getLatticeDensityFromPhysPressure( -p0 ) - 1., 0, converter.getLatticeDensityFromPhysPressure( p0*(lx + distance2Wall*2.)/2. ) );
+
+ PowerLaw2D u( superGeometry, 3, maxVelocity, distance2Wall, ( n + 1. )/n );
+
+ // Set the analytical solutions for pressure and velocity
+ AnalyticalConst2D omega0( converter.getLatticeRelaxationFrequency() );
+ sLattice.defineField( superGeometry, 1, omega0 );
+ sLattice.defineField( superGeometry, 3, omega0 );
+ sLattice.defineField( superGeometry, 4, omega0 );
+
+ // Set the analytical solutions for pressure and velocity
+ // Initialize all values of distribution functions to their local equilibrium
+
+ sLattice.defineRhoU( superGeometry, 1, rho, u );
+ sLattice.iniEquilibrium( superGeometry, 1, rho, u );
+
+ sLattice.iniEquilibrium( superGeometry, 3, rho, u );
+ sLattice.defineRhoU( superGeometry, 3, rho, u );
+
+ sLattice.iniEquilibrium( superGeometry, 4, rho, u );
+ sLattice.defineRhoU( superGeometry, 4, rho, u );
+
+ // Make the lattice ready for simulation
+ sLattice.initialize();
+ }
+}
+
+// Compute error norms
+void error( SuperGeometry2D& superGeometry,
+ SuperLattice2D& sLattice,
+ PowerLawUnitConverter const& converter,
+ Dynamics& bulkDynamics ) {
+ OstreamManager clout( std::cout,"error" );
+
+ int input[1] = { };
+ T result[1] = { };
+
+ T distance2Wall = converter.getConversionFactorLength()/2.;
+
+ PowerLaw2D uSol( superGeometry,3,converter.getCharPhysVelocity(),distance2Wall,( n + 1. )/n );
+ SuperLatticePhysVelocity2D u( sLattice,converter );
+
+ T p0 = converter.getPhysConsistencyCoeff()*pow( converter.getCharPhysVelocity(),n )*pow( ( n + 1. )/n,n )*pow( 2./( ly-distance2Wall*2 ),n + 1. );
+ AnalyticalLinear2D pressureSol( -p0, 0, p0*(lx + distance2Wall*2.)/2. );
+ SuperLatticePhysPressure2D pressure( sLattice,converter );
+
+ auto indicatorF = superGeometry.getMaterialIndicator(1);
+
+ // velocity error
+ SuperAbsoluteErrorL1Norm2D absVelocityErrorNormL1(u, uSol, indicatorF);
+ absVelocityErrorNormL1(result, input);
+ clout << "velocity-L1-error(abs)=" << result[0];
+ SuperRelativeErrorL1Norm2D relVelocityErrorNormL1(u, uSol, indicatorF);
+ relVelocityErrorNormL1(result, input);
+ clout << "; velocity-L1-error(rel)=" << result[0] << std::endl;
+
+ SuperAbsoluteErrorL2Norm2D absVelocityErrorNormL2(u, uSol, indicatorF);
+ absVelocityErrorNormL2(result, input);
+ clout << "velocity-L2-error(abs)=" << result[0];
+ SuperRelativeErrorL2Norm2D relVelocityErrorNormL2(u, uSol, indicatorF);
+ relVelocityErrorNormL2(result, input);
+ clout << "; velocity-L2-error(rel)=" << result[0] << std::endl;
+
+ SuperAbsoluteErrorLinfNorm2D absVelocityErrorNormLinf(u, uSol, indicatorF);
+ absVelocityErrorNormLinf(result, input);
+ clout << "velocity-Linf-error(abs)=" << result[0];
+ SuperRelativeErrorLinfNorm2D relVelocityErrorNormLinf(u, uSol, indicatorF);
+ relVelocityErrorNormLinf(result, input);
+ clout << "; velocity-Linf-error(rel)=" << result[0] << std::endl;
+
+ // pressure error
+ SuperAbsoluteErrorL1Norm2D absPressureErrorNormL1(pressure, pressureSol, indicatorF);
+ absPressureErrorNormL1(result, input);
+ clout << "pressure-L1-error(abs)=" << result[0];
+ SuperRelativeErrorL1Norm2D relPressureErrorNormL1(pressure, pressureSol, indicatorF);
+ relPressureErrorNormL1(result, input);
+ clout << "; pressure-L1-error(rel)=" << result[0] << std::endl;
+
+ SuperAbsoluteErrorL2Norm2D absPressureErrorNormL2(pressure, pressureSol, indicatorF);
+ absPressureErrorNormL2(result, input);
+ clout << "pressure-L2-error(abs)=" << result[0];
+ SuperRelativeErrorL2Norm2D relPressureErrorNormL2(pressure, pressureSol, indicatorF);
+ relPressureErrorNormL2(result, input);
+ clout << "; pressure-L2-error(rel)=" << result[0] << std::endl;
+
+ SuperAbsoluteErrorLinfNorm2D absPressureErrorNormLinf(pressure, pressureSol, indicatorF);
+ absPressureErrorNormLinf(result, input);
+ clout << "pressure-Linf-error(abs)=" << result[0];
+ SuperRelativeErrorLinfNorm2D relPressureErrorNormLinf(pressure, pressureSol, indicatorF);
+ relPressureErrorNormLinf(result, input);
+ clout << "; pressure-Linf-error(rel)=" << result[0] << std::endl;
+}
+
+// Output to console and files
+void getResults( SuperLattice2D& sLattice,
+ Dynamics& bulkDynamics,
+ PowerLawUnitConverter const& converter, int iT,
+ SuperGeometry2D& superGeometry, Timer& timer ) {
+ OstreamManager clout( std::cout,"getResults" );
+
+ SuperVTMwriter2D vtmWriter( "powerLaw2d" );
+ SuperLatticePhysVelocity2D velocity( sLattice, converter );
+ SuperLatticePhysPressure2D pressure( sLattice, converter );
+
+ vtmWriter.addFunctor( velocity );
+ vtmWriter.addFunctor( pressure );
+
+ if ( iT==0 ) {
+ SuperLatticeCuboid2D cuboid( sLattice );
+ SuperLatticeGeometry2D geometry( sLattice,superGeometry );
+ SuperLatticeRank2D rank( sLattice );
+ vtmWriter.write( geometry );
+ vtmWriter.write( cuboid );
+ vtmWriter.write( rank );
+ vtmWriter.createMasterFile();
+ }
+
+ if ( iT%converter.getLatticeTime( Tprint )==0 ) {
+ vtmWriter.write( iT );
+
+ SuperEuklidNorm2D normVel( velocity );
+ BlockReduction2D2D planeReduction( normVel, 600, BlockDataSyncMode::ReduceOnly );
+ // write output of velocity as JPEG
+ heatmap::write(planeReduction, iT);
+ }
+
+ // Writes output on the console
+ if ( iT%converter.getLatticeTime( Tprint )==0 ) {
+ timer.update( iT );
+ timer.printStep();
+ sLattice.getStatistics().print( iT,converter.getPhysTime( iT ) );
+ error( superGeometry, sLattice, converter, bulkDynamics );
+ }
+ return;
+}
+
+
+int main( int argc, char* argv[] ) {
+
+ // === 1st Step: Initialization ===
+ olbInit( &argc, &argv );
+ singleton::directories().setOutputDir( "./tmp/" );
+ OstreamManager clout( std::cout,"main" );
+
+ /*
+ if ( argc > 1 ) {
+ N = atoi( argv[1] );
+ }
+ if ( argc > 2 ) {
+ n = atof( argv[2] );
+ }
+ */
+
+ singleton::directories().setOutputDir( "./tmp/" );
+
+ XMLreader config("input.xml");
+ config["geometry"]["N"].read(N);
+ config["geometry"]["lx"].read(lx);
+ config["geometry"]["ly"].read(ly);
+ config["dynamics"]["maxU"].read(maxU);
+ config["dynamics"]["Re"].read(Re);
+ config["dynamics"]["tau"].read(tau);
+ config["dynamics"]["n"].read(n);
+ config["time"]["Tmax"].read(Tmax);
+ config["time"]["Tprint"].read(Tprint);
+
+ /*
+ T physDeltaX = (ly/N);
+ T m = ly*maxU*pow( maxU/(2*ly),1-n )/Re;
+ T physViscosity = m*pow( maxU/(2*ly),n-1 );
+ T physDeltaT = (tau - 0.5) / DESCRIPTOR::invCs2 * pow(physDeltaX,2) / physViscosity;
+ PowerLawUnitConverter const converter(
+ (T) physDeltaX,
+ (T) physDeltaT,
+ (T) ly,
+ (T) maxU,
+ (T) m,
+ (T) n, // power-law index
+ (T) 1.0 // physDensity: physical density in __kg / m^3__
+ );
+ */
+ PowerLawUnitConverterFrom_Resolution_RelaxationTime_Reynolds_PLindex const converter(
+ int {N}, // resolution: number of voxels per charPhysL
+ (T) tau, // latticeRelaxationTime: relaxation time, have to be greater than 0.5!
+ (T) ly, // charPhysLength: reference length of simulation geometry
+ (T) maxU, // charPhysVelocity: maximal/highest expected velocity during simulation in __m / s__
+ (T) Re, // Reynolds number
+ (T) n, // power-law index
+ (T) 1.0 // physDensity: physical density in __kg / m^3__
+ );
+ // Prints the converter log as console output
+ converter.print();
+ // Writes the converter log in a file
+ converter.write("powerLaw2d");
+
+
+ // === 2rd Step: Prepare Geometry ===
+ // Instantiation of a cuboidGeometry with weights
+
+ Vector extend( lx, ly );
+ Vector origin;
+ IndicatorCuboid2D cuboid( extend, origin );
+
+#ifdef PARALLEL_MODE_MPI
+ CuboidGeometry2D cuboidGeometry( cuboid, converter.getConversionFactorLength(), singleton::mpi().getSize() );
+#else
+ CuboidGeometry2D cuboidGeometry( cuboid, converter.getConversionFactorLength(), 7 );
+#endif
+
+ // Periodic boundaries in x-direction
+ if (bcTypePeriodic)
+ cuboidGeometry.setPeriodicity( true, false );
+
+ //cuboidGeometry.printExtended();
+
+ HeuristicLoadBalancer loadBalancer( cuboidGeometry );
+ SuperGeometry2D superGeometry( cuboidGeometry, loadBalancer, 2 );
+ prepareGeometry( converter, superGeometry );
+
+ // === 3rd Step: Prepare Lattice ===
+ SuperLattice2D sLattice( superGeometry );
+
+ T distance2Wall = converter.getConversionFactorLength()/2.;
+ T p0 = converter.getPhysConsistencyCoeff()*pow( converter.getCharPhysVelocity(),n )*pow( ( n + 1. )/n,n )*pow( 2./( ly-distance2Wall*2 ),n + 1. );
+
+ clout << "Dimensionalized version-1." << std::endl;
+ PowerLawBGKdynamics bulkDynamics( converter.getLatticeRelaxationFrequency(), instances::getBulkMomenta(), converter.getLatticeConsistencyCoeff(), n );
+
+ PeriodicPressureDynamics> outDynamics( bulkDynamics,converter.getLatticeDensityFromPhysPressure( p0*(lx + distance2Wall*2.))-1,1,0);
+ PeriodicPressureDynamics> inDynamics( bulkDynamics,-converter.getLatticeDensityFromPhysPressure( p0*(lx + distance2Wall*2. ))+1,-1,0);
+ std::cout << -converter.getLatticeDensityFromPhysPressure( p0 )+1 << std::endl;
+
+ sOnLatticeBoundaryCondition2D sBoundaryCondition( sLattice );
+ createLocalBoundaryCondition2D > ( sBoundaryCondition );
+
+ prepareLattice( sLattice, converter, bulkDynamics, inDynamics, outDynamics, sBoundaryCondition, superGeometry );
+
+ // === 4th Step: Main Loop with Timer ===
+ Timer timer( converter.getLatticeTime( Tmax ), superGeometry.getStatistics().getNvoxel() );
+ util::ValueTracer converge( converter.getLatticeTime( 0.1*Tprint ), residuum );
+ timer.start();
+
+ for ( int iT=0; iT gplot( "centerVelocity" );
+ T Ly = converter.getLatticeLength( ly );
+ for ( int iY=0; iY<=Ly; ++iY ) {
+ T dx = 1. / T(converter.getResolution());
+ // const T maxVelocity = converter.getPhysVelocity( converter.getCharLatticeVelocity() );
+ T point[2]= {T(),T()};
+ point[0] = .9*lx;
+ point[1] = ( T )iY/Ly;
+ // const T radius = ly/2.;
+ std::vector axisPoint( 2,T() );
+ axisPoint[0] = lx/2.;
+ axisPoint[1] = ly/2.;
+ std::vector axisDirection( 2,T() );
+ axisDirection[0] = 1;
+ axisDirection[1] = 0;
+ T distance2Wall = converter.getConversionFactorLength()/2.;
+ PowerLaw2D uSol( superGeometry,3,converter.getCharPhysVelocity(),distance2Wall,( n + 1. )/n );
+ //Poiseuille2D uSol( axisPoint, axisDirection, maxVelocity, radius ); // <---
+ T analytical[2] = {T(),T()};
+ uSol( analytical,point );
+ SuperLatticePhysVelocity2D velocity( sLattice, converter );
+ AnalyticalFfromSuperF2D intpolateVelocity( velocity, true );
+ T numerical[2] = {T(),T()};
+ intpolateVelocity( numerical,point );
+ gplot.setData( iY*dx, {analytical[0],numerical[0]}, {"analytical","numerical"} );
+ }
+ // Create PNG file
+ gplot.writePNG();
+}
diff --git a/examples/laminar/powerLaw2d/run.sh b/examples/laminar/powerLaw2d/run.sh
new file mode 100755
index 0000000..190f65d
--- /dev/null
+++ b/examples/laminar/powerLaw2d/run.sh
@@ -0,0 +1,29 @@
+#!/bin/bash
+
+# Script to run the example with three different values for maxU and collect the output.
+
+APP=powerLaw2d
+NP=2
+
+if [ ! -f $APP ]; then make; fi
+
+for N in `seq 1 3`; do
+
+ case $N in
+ 1) MAXU=1; DIR="out_u1e+0" ;;
+ 2) MAXU=0.1; DIR="out_u1e-1" ;;
+ 3) MAXU=10; DIR="out_u1e+1" ;;
+ esac
+
+ if [ ! -d $DIR ]; then mkdir $DIR; fi
+
+ sed "s/MAXU/$MAXU/g" input-model.xml > $DIR/input.xml
+ cp $APP $DIR/
+
+ cd $DIR
+
+ mpirun -np $NP $APP 2>&1 | tee log.log \
+ && cp tmp/gnuplotData/centerVelocity.png ../u_$DIR".png"
+
+ cd ..
+done
--
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